"Finney-fined” I don’t know; I can only guess it’s something like “refined”, maybe “finicky-refined”.
“Top notch” = “highest level” in that 1833 piece, I suppose.
Also here: _Eastern Argus_ [Portland ME], 14 Feb. 1826: p. : //And the state of Connecticut, the very top notch of morality, ....//
Also here: _Pittsfield [MA] Sun_, 6 Aug. 1829: p. : //a _fashionable_ lady, dressed to the top notch of _fashion_ ....//
Also here: _Hagerstown [MD] Mail_, 29 Jan. 1836: p. : //Prices are up to the top notch.//
Here is just _one possible_ ancestor:
_Book of Games_ (1812) [at Google Books]: p. 38: [boys talking about high jumping] //Can you jump over that stick now? / No .... / Why we have it much higher sometimes; look, I will take it now that it is raised to the top notch.//